arXiv subjects

Rugang Ma

Publications and source records attributed to Rugang Ma.

3 recordsLinked to original sources

arXiv2022

Explosion of continuous-state branching processes with competition in L\'evy environment

Using the Lyapunov criteria arguments, we find sufficient conditions on explosion/nonexplosion for continuous-state branching processes with competition in L\'evy random environment. In particular, we identify the necessary and sufficient conditions on explosion/nonexplosion when the competition function is a power function and the L\'evy measure of the associated branching mechanism is stable.

math.PR↗

arXiv2012

Limit theorems for continuous time branching flows

We construct a flow of continuous time and discrete state branching processes. Some scaling limit theorems for the flow are proved, which lead to the path-valued branching processes and nonlocal branching superprocesses over the positive half line studied in Li (2012).

math.PR↗

arXiv2012

Some limit theorems for flows of branching processes

We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positive half line.

math.PR↗